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Finding the Third Proportional to 6,277,140 and 13,307,544

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Solution

The third proportional to 6,277,140 and 13,307,544 is: 28,212,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277,140 : 13,307,544 = 13,307,544 : x
  2. Step 2: Convert to fraction form
    6,277,140/13,307,544 = 13,307,544/x
  3. Step 3: Cross multiply
    6,277,140x = 13,307,544 × 13,307,544
  4. Step 4: Simplify right side
    6,277,140x = 177,090,727,311,936
  5. Step 5: Solve for x
    x = 177,090,727,311,936/6,277,140
  6. Step 6: Final answer
    x = 28,212,008.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.